Properties

Label 135240.f
Number of curves $1$
Conductor $135240$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 135240.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135240.f1 135240ca1 \([0, -1, 0, -1534696, 731151961]\) \(4333978732996864/7820156745\) \(721306358779723920\) \([]\) \(2822400\) \(2.3187\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135240.f1 has rank \(0\).

Complex multiplication

The elliptic curves in class 135240.f do not have complex multiplication.

Modular form 135240.2.a.f

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 3 q^{11} + q^{15} - 6 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display